Categories of Operator Modules: Morita Equivalence and Projective Modules (Memoirs of the American Mathematical Society) - Softcover

Blecher, David P.; Muhly, Paul S.; Paulsen, Vern I.

 
9780821819166: Categories of Operator Modules: Morita Equivalence and Projective Modules (Memoirs of the American Mathematical Society)

Synopsis

The authors employ advances in the theory of operator spaces, also known as quantized functional analysis, to provide a context in which one can compare categories of modules over operator algebras that are not necessarily self-adjoint. Attention is focused on the category of Hilbert modules over an operator algebra and on the category of operator modules over an operator algebra. The module operations are assumed to be completely bounded - usually, completely contractive.

"synopsis" may belong to another edition of this title.